Use DeMoivre's Theorem to Find the Indicated Power of the Following

question 45

Multiple Choice

Use DeMoivre's Theorem to find the indicated power of the following complex number. $\left[ - 2 \left( \cos \frac { \pi } { 3 } + i \sin \frac { \pi } { 3 } \right) \right] ^ { 6 }$

• A)-4
• B)-8
• C) \(64 + 64 \sqrt { 3 }\)
• D) \(32 + 32 \sqrt { 3 }\)
• E)8

---

Definitions:

Quasi-Fixed Costs

Costs that are not completely variable but do change with the level of output or activity over certain ranges or periods of time.

Production Function

A mathematical model that describes the relationship between input resources and the maximum output that can be produced with those resources.

Cost of Producing

The total expenses incurred in the manufacture of a product, including raw materials, labor, and overhead costs.

Orange Grower

An individual or business involved in the cultivation of orange trees for the purpose of fruit production.